Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-07-28T03:53:51.483914

Query: /api/mf_newforms/?_offset=0

Column	Type
Nk2	integer
analytic_conductor	double precision
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]
atkin_lehner_string	text
char_conductor	integer
char_degree	integer
char_is_minimal	boolean
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
cm_discs	integer[]
conrey_index	integer
dim	integer
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]
field_poly_is_cyclotomic	boolean
field_poly_is_real_cyclotomic	boolean
field_poly_root_of_unity	integer
fricke_eigenval	smallint
has_non_self_twist	smallint
hecke_cutters	jsonb
hecke_orbit	integer
hecke_orbit_code	bigint
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
inner_twist_count	integer
inner_twists	integer[]
is_cm	boolean
is_largest	boolean
is_maximal	boolean
is_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
minimal_twist	text
nf_label	text
prim_orbit_index	smallint
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text
related_objects	text[]
relative_dim	integer
rm_discs	integer[]
sato_tate_group	text
self_twist_discs	integer[]
self_twist_type	smallint
space_label	text
trace_display	numeric[]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]
weight	smallint
weight_parity	smallint

{'Nk2': 1288, 'analytic_conductor': 2.571182945085228, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 161, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 22, 'char_parity': 1, 'char_values': [322, 22, [185, 281], [11, 21]], 'cm_discs': [], 'conrey_index': 83, 'dim': 80, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [19790033062801, 0, -2101145953321670, 0, 136632663896613376, 0, 3747859951329840943, 0, 29264042843103784305, 0, -113061340014121535750, 0, 189056194952849955491, 0, -324586596144055026631, 0, 417381039309032515618, 0, -362997414764016552333, 0, 503791403296366106141, 0, -283598661929565387904, 0, 257786637998126140769, 0, -151588954255791083140, 0, 79782536142531587925, 0, -35094636994781669608, 0, 11067579301264927272, 0, -2731212966714569070, 0, 779302548790882337, 0, -281934128796340449, 0, 88214074475808402, 0, -23252972785608137, 0, 6385927118700743, 0, -1605174308719703, 0, 332897173957189, 0, -62325877068384, 0, 10454390873891, 0, -1584888307367, 0, 244820111796, 0, -34228358411, 0, 4933193705, 0, -716525689, 0, 123986588, 0, -16032845, 0, 1445331, 0, -84094, 0, 6522, 0, -1172, 0, 183, 0, -19, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286855692610, 'id': 43575, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 23, 4, -1, 22, 0], [1, 1, 161, 11, 1, 22, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '322.2.k.b', 'level': 322, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 7, 23], 'level_radical': 322, 'minimal_twist': '322.2.k.b', 'prim_orbit_index': 11, 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c22', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '322.2.k', 'trace_display': [8, 0, 0, 11], 'traces': [80, 8, 0, -8, 0, 0, 11, 8, 14, 0, 0, 0, 0, -11, 0, -8, 0, -14, 0, 0, -33, 0, 18, 0, 6, 0, 0, -11, 8, 22, 0, 8, 0, 0, -33, -8, -22, 0, 14, 0, 0, 22, -88, 0, 0, 4, 0, 0, 33, 16, 44, 0, -44, 0, 0, 11, -22, -52, 0, 0, 0, 0, -11, -8, -154, 0, 0, 0, 0, 22, -58, -36, 0, -22, 0, 0, 88, -58, -88, 0, 62, 0, 0, 33, 34, 88, 0, -22, 0, 0, 0, -4, -48, 0, 132, 0, 0, -33, 132, 6, 0, -88, 0, 0, -120, 66, -88, 0, -176, 0, 0, 0, 44, 0, 0, -36, 0, 0, -33, 0, 188, 0, -328, 0, 0, -55, 200, 8, 0, -66, 0, 0, -144, 44, 154, 0, 0, 0, 0, -33, -46, -8, 0, 14, 0, 0, 154, -22, 88, 0, 148, 0, 0, 44, 44, 58, 0, 66, 0, 0, -38, 136, 98, 0, 330, 0, 0, 33, -36, 54, 0, 44, 0, 0, -99, 0, 20, 0, 8, 0, 0, 99, 0, 26, 0, 136, 0, 0, -33, -44, -176, 0, 50, 0, 0, 33, -26, -66, 0, 38, 0, 0, 253, -22, -22, 0, -4, 0, 0, 120, -94, 66, 0, -198, 0, 0, 198, 0, -402, 0, 154, 0, 0, 0, -192, 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